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Homological Description of Equivariant Geometric Bordism
Using the evenness criterion in \cite{LCLS} and duality principle in \cite{CLT}, we construct a finite chain complex $\mathfrak{B}_{\bullet}((\mathbb{Z}_2)^k)$ built from the universal complex $X((\mathbb{Z}_2)^k)$ and its links. We then show that the equivariant unoriented bordism group $\mathcal{Z
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